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Q: Consider the following statement: Mary wants to (spend, at least spend, at most spend) 20 minutes a ...

A: In this question, we have statements which we have to write in expression form, the statement is:Mar...

Q: I want to start a lemonade stand and determine how much lemonade I need to sell to break even each d...

A: Let you have to sell x glasses. Each glass costs $0.50. So x glasses cost $0.50x.

Q: Consider an arithmetic sequence with the first term ai = 300 and common difference d = -90 Use the f...

A: From the given information, it is observed that the first term

Q: Christine, Ali, and Henry served a total of 138 orders on Monday at the school cafeteria Henry serve...

A: Given information:Christine, Ali, and Henry served a total of 138 orders on Monday at the school caf...

Q: Evaluate:

A: The logarithmic expression is,

Q: The number of bacteria in a certain population increases according to a continuous exponential growt...

A: To use the given data (exponential model) to determine the initial data

Q: I am having a math confusion here b2-a over ad+3c a=-2b=5c=-1d=3 I keep coming up with 12 over -9 th...

A: To calculate the value of b2-a over ad+3c where, the value of a=-2, b=5, c=-1 and d=3. Now, substitu...

Q: A sample of 125 light bulbs contained 3 defective bulbs. How many defective bulbs would you expect i...

A: Given infromation:A sample of 125 light bulbs contained 3 defective bulbs.Calculate:P(defective)=3/1...

Q: Condense the expression to the logarithm of a single quantity (c) 4 [lnz +ln(z +5)] −2ln(z −5)

A: Consider the provided expression.

Q: Condense the expression to the logarithm of a single quantity. log x −2log(x +1)

A: Given,

Q: Write an equation (slope-intercept form) of the line L satisfying the given conditions: 1.) L passes...

A: 1)The slope of line ax+by=c is -a/b, using this we can calculate the slope of given line m1 which is...

Q: Suppose that the functions q and r are defined as follows. =q(x)=−x r=-2x^2+1 Find the following. (r...

A: In this question we have two functions q(x) and r(x), for which we have to find (roq)3 and (qor)3

Q: The figure on the right shows the graphs of the cost and revenue functions for a company that manufa...

A: In order to break even we must have C(x)=R(x)

Q: For f(x) 1-x and g(x)= 2x +x+6, find the following functions a. (f o g)(x): b. (gof)(x); c. (fo g)2)...

A: Answer: (a): -2x^2-x-5

Q: Solve the given exponential equation. Express the solution set in terms of natural logarithms or com...

A: Given exponential equation is,

Q: Simplify (-2y^4)^2(-2x^3y^2z)^3

A: To simplify (-2y^4)^2(-2x^3y^2z)^3.

Q: On a reality tv show, an officer is traveling 90 mph. He is chasing Jennifer who which had a 3 min h...

A: An officer is traveling 90 mph. He is chasing Jennifer who which had a 3 min head start before him. ...

Q: Solve the exponential equation by expressing each side as a power of the same base and then equating...

A: We use 4=2^2 and 8=2^3

Q: Janet, an experienced shipping clerk, can fill a certain order in 12 hours. Bill, a new clerk, n...

A: Click to see the answer

Q: Let A1, A2 and A3 be mutually exclusive and exhaustive events of some sample space S, where P(A1) = ...

A: In this question, it has been given that A1, A2 and A3 are mutually exclusive and exhaustive events....

Q: Mary wants to spend at least 20 minutes a day exercising. Write as an equation.

A: Given:Mary wants to spend at least 20 minutes a day exercising.

Q: (-1+i)-(-7+4i)-5

A: Simplify the expression (–1+i) – (–7+ 4i) – 5 as follows.(–1+ i) – (–7+ 4i) – 5 = –1+ i +7– 4 i – 5 ...

Q: For f(x)=x and g(x) = x + 4, find b. the domain of fog a. (fo g)(x) a. (fo g)x) (Simplify your answe...

A: (a)o represents the composition of functions and is defined as:Plugging the values,

Q: Write the quotient in standard form: f (x) = 5+i / 5−i

A: we are given a complex value as

Q: 75) Use Gaussian elimination with backward substitution to solve the system of equations. (Use a mat...

A: Given: The system of linear equations is given by,

Q: Solve the system of equations by the substitution method. 2 3 y = 7xt 7 5 y = X7 Select the correct ...

A: Given:The system of equations is

Q: Solve and graph the solution on a number line

A: Given infromation:The given inequality is x-3>1Calculation:x-3>1x>1+3x>4Graph:

Q: Solve the systems of linear equations by elimination X=3y+5 and 4x-12y=20

A: Click to see the answer

Q: Solve the given system of equations. 5x+2y-5z 7 3x-4y+3z -31 6x-5y+ 6z - 59 Select the correct choic...

A: Method of Substitution:

Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...

A: we are given system of equations as

Q: 4y-(-4)=6

A: To compute the value of y from the provided linear equation 4y-(-4)=6. Now, first resolve the negati...

Q: The points (-4,-4) and (3,6) are the endpoints of the diameter of a circle. Find the length of...

A: The distance between two points (x1,y1) and (x2,y2) is given by:Given points are (x1,y1) = (-4,-4)...

Q: O SYSTEMS OF LINEAR EQUATIONS Paul Solving a value mixture problem using a system of linear equ Espa...

A: It is given that the first car has fuel efficiency of 20 miles per gallon of gas and the second car ...

Q: Find the domain of the function. 15 -ズー12 What is the domain of f? O A. (-000)U(0,c0) O B. (-cqo0) O...

A: Given,

Q: Convert each of the following base ten numerals in the given base: Convert 67 to base three Convert...

A: To convert 67 base 10 to base three.

Q: I want to start a lemonade stand and determine how much lemonade I need to sell to break even each d...

A: Let x be the number of glasses of lemonades.Given that, $0.50 per glass is spent for lemonade each d...

Q: K

A: Given,

Q: Solve the system. -5x y= 13 y-22=-5 X- 2y + Z= 5 Select the correct choice below and fill in any ans...

A: We are given system of equations as

Q: Find the indicated difference quotient and simplify your answer. f (x) = x 3 +3x, f (x +h)− f (x) /h...

A: Using given f(x) first find f(x+h).

Q: 33 and 34

A: (13) Let Felix invests $ x amount at 7% annual interest and then according to question, the amo...

Q: Find the quadratic function y = ax + bx + c whose graph passes through the given points. (-2,0). (1,...

A: Given information:The three points are as follows:(-2,0),(1,0) and (3,10)

Q: #9 Directions: Write the equation of the line in S.I. and S.F.

A: It is given that the equation is passing through the point (6,-4) and perpendicular to the line x-4y...

Q: A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the sec...

A: Total gas consumption in the given week is 40 gallons.

Q: 2x2=5x-1

A: The equation is given by,

Q: Add (0.04x5-0.4x2+x+0.07)+ (-0.03x5+x3-0.8x-005)

A: Firstly, we remove the brackets , and then we collect the like terms and solve.

Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...

A: We are given system of equations as

Q: mplele) (4 pt Use the given conditions to write an equation for the line in point-slope form and in ...

A: Given, Required line passing through the point (-3 , -2) and parallel to the line y = -3x+5.

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate loga...

A: Given expression is,

Q: Ay The functions f(x)= 0.0875x-1.3x+61.7 and gox) = 0,0875x + 1.9x+11.1 model a car's stopping dista...

A: In order to find the stopping distance that exceed the length of one and one-half football fields, o...

Q: Solve for x: 3^x+1 = 27

A: The given equation is,